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Finding the Third Proportional to 242,424,680 and 363,916,956

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Solution

The third proportional to 242,424,680 and 363,916,956 is: 546,295,661.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,424,680 : 363,916,956 = 363,916,956 : x
  2. Step 2: Convert to fraction form
    242,424,680/363,916,956 = 363,916,956/x
  3. Step 3: Cross multiply
    242,424,680x = 363,916,956 × 363,916,956
  4. Step 4: Simplify right side
    242,424,680x = 132,435,550,864,305,936
  5. Step 5: Solve for x
    x = 132,435,550,864,305,936/242,424,680
  6. Step 6: Final answer
    x = 546,295,661.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.